On the stress field in a half-plane covered by the pre-stretched layer under the action of arbitrary linearly located time-harmonic forces

Abstract

Within the framework of the piecewise homogeneous body model with the use of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies the stress field in a half-plane covered by the pre-stretched layer under the action of the inclined linearly located time-harmonic forces is investigated. The algorithm for obtaining numerical results is proposed. Concrete numerical results are presented for the pair of materials Aluminium (layer) + Steel (half-plane) as well as for Steel (layer) + Aluminium (half-plane). These numerical results are involved in the normal stress acting on the interface plane. The dependencies between this stress and the frequency of the external force and the influence of the pre-stretching of the covering layer on these dependencies is analysed.